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Sets
This document discusses sets and operations on sets. Some key points covered include: - Sets are collections of distinct elements that can be defined either by listing elements (roster method) or describing characteristics of elements (rule method). - The cardinality of a set refers to the number of elements in the set. Two sets are equivalent if there is a one-to-one correspondence between their elements. - Sets can be finite, containing a fixed number of elements, or infinite. Sets are equal if they contain identical elements and disjoint if they have no elements in common. - Common set operations include intersection, union, difference, and complement. Intersection identifies elements shared by two sets while union combines all
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Sets
- 1. Sets Definition, properties, fundamental setof numbers, operations on sets, Venn diagram
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- 3. Fundamental sets ofnumbers
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- 6. Set notations A,B, C – capital letters for names Distinct elements, no repetition of elements Enclosed in braces Elements are separated by comma ∈ - symbol for element of ∉ - not element of
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- 8. Rule Method Sets arebuilt by describing the essential characteristics of elements that make up the set.
- 9. Rule vs RosterMethod
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- 14. Equivalent sets Twosets A and B are equivalent if there is a one-to-one correspondence between the sets The have the same number of elements: n(A) = n(B)
- 15. Equal Sets Twosets A and B are equal if they have identical (the same elements) Equal sets are also equivalent sets
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- 17. Joint vs Disjointsets Two set A and B are joint sets if they have elements in common Two sets A and B are disjoint sets if they have no common elements A = { 2, 4, 6, 8} B = {1, 2, 3, 5, 8} C = { 7, 9, 10}
- 18. Set Operations Setintersection, set union, set difference, set complement
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